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Finding the Fourth Proportional to 4,804.62, 7,206.93 and 1,294.63

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Solution

The fourth proportional to 4,804.62, 7,206.93 and 1,294.63 is: 1,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.62 : 7,206.93 = 1,294.63 : x
  2. Step 2: Convert to fraction form
    4,804.62/7,206.93 = 1,294.63/x
  3. Step 3: Cross multiply
    4,804.62x = 7,206.93 × 1,294.63
  4. Step 4: Simplify right side
    4,804.62x = 9,330,307.79
  5. Step 5: Solve for x
    x = 9,330,307.79/4,804.62
  6. Step 6: Final answer
    x = 1,941.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.